In a medium-sized mixing bowl, beat 1 egg until well-beaten. Add ½ cup cornmeal, ½ cup all-purpose flour, 1 teaspoon salt, ½ teaspoon black pepper, ½ cup milk, and 2 tablespoons melted butter. Stir with a spoon to combine mixture, and then beat with an electric mixer until smooth. With tongs, dip Lit'l Smokies into batter, one at a time, and place on a rack to drain. Heat about 1-inch of peanut oil in a heavy pot on the stove until it reaches 350 degrees. With tongs, gently drop individual coated mini corn dogs into hot oil and fry until golden brown, about 2 minutes. As individual corn dogs get done, remove them from the hot oil and drain them on a platter that has been covered with paper toweling to drain. When all corn dogs are fried and drained, place them on a nice serving platter with a small cup of honey mustard in the middle for dipping. This is a really popular recipe, and I hope you can use it for your parties!